Free Printable Pythagorean Theorem

1.

Which equation will help you find the missing side?

a)

$4^2+10^2=c^2$

b)

$10^2-4^2=c^2$

c)

$c^2=100+10^2$

d)

$c^2+4^2=10^2$

2.

Which of these is closest to the length of PQ?

a)

10 units

b)

13 units

c)

9 units

d)

12 units

3.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

4.

Which equation would be used to find the missing measurement?

a)

$18^2+c^2\ =82^2$

b)

$a^2+18^2=82^2$

c)

$18+b^2=82$

d)

$18^2+82^2=b^2$

5.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. How high up the wall does the ladder reach?

a)

about 9 ft

b)

about 11 ft

c)

about 8 ft

d)

about 10 ft

6.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

7.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east to get to her school while Miguel walks north. The schools are 10 blocks apart if you walk in a straight line from one to the other. How far from home does Miguel have to walk to get to his school?

a)

14 blocks

b)

8 blocks

c)

5 blocks

d)

about 9 blocks

8.

Which variable represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

9.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

10.

The hypotenuse of a right triangle is ALWAYS the longest.

a)

true

b)

false

11.

Find the missing measurement.

a)

13

b)

5

c)

23

d)

10

12.

Find the distance between these two points.

a)

about 13 units

b)

about 8 units

c)

about 9 units

d)

about 10 units

13.

Find the distance between the two points.

a)

$\approx8\ units$

b)

$\approx7\ units$

c)

8 units

d)

9 units

14.

A ladder is placed against a wall so that the top of the ladder is 15 feet from the ground. The base of the ladder is 6 feet from the wall. How long is the ladder?

a)

12 feet

b)

about 16 feet

c)

about 15 feet

d)

18 feet

15.

A computer monitor has a length of 12 inches and a width of 16 inches. What is the diagonal measurement of the monitor?

a)

about 19 in.

b)

about 20 in.

c)

20 in.

d)

about 21 in.

Pythagorean Theorem

Total questions: 15

Worksheet time: 29mins

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